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1048224 = 25361179
BaseRepresentation
bin11111111111010100000
31222020220010
43333322200
5232020344
634244520
711624022
oct3777240
91866803
101048224
11656601
12426740
132a9168
141d4012
1515a8b9
hexffea0

1048224 has 48 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 341760.

The previous prime is 1048219. The next prime is 1048261. The reversal of 1048224 is 4228401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1048224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5767 + ... + 5945.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

21048224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1048224 is an abundant number, since it is smaller than the sum of its proper divisors (1764096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1048224 is a wasteful number, since it uses less digits than its factorization.

1048224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1048224 is about 1023.8281105733. The cubic root of 1048224 is about 101.5822979472.

The spelling of 1048224 in words is "one million, forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 179 183 244 358 366 488 537 716 732 976 1074 1432 1464 1952 2148 2864 2928 4296 5728 5856 8592 10919 17184 21838 32757 43676 65514 87352 131028 174704 262056 349408 524112 1048224